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Simplifying 2(x + 4) + -3(x + -5) = 3x + -1 Reorder the terms: 2(4 + x) + -3(x + -5) = 3x + -1 (4 * 2 + x * 2) + -3(x + -5) = 3x + -1 (8 + 2x) + -3(x + -5) = 3x + -1 Reorder the terms: 8 + 2x + -3(-5 + x) = 3x + -1 8 + 2x + (-5 * -3 + x * -3) = 3x + -1 8 + 2x + (15 + -3x) = 3x + -1 Reorder the terms: 8 + 15 + 2x + -3x = 3x + -1 Combine like terms: 8 + 15 = 23 23 + 2x + -3x = 3x + -1 Combine like terms: 2x + -3x = -1x 23 + -1x = 3x + -1 Reorder the terms: 23 + -1x = -1 + 3x Solving 23 + -1x = -1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 23 + -1x + -3x = -1 + 3x + -3x Combine like terms: -1x + -3x = -4x 23 + -4x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 23 + -4x = -1 + 0 23 + -4x = -1 Add '-23' to each side of the equation. 23 + -23 + -4x = -1 + -23 Combine like terms: 23 + -23 = 0 0 + -4x = -1 + -23 -4x = -1 + -23 Combine like terms: -1 + -23 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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